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Simplifying 9b2 + -88b + -20 = 0 Reorder the terms: -20 + -88b + 9b2 = 0 Solving -20 + -88b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (-2 + -9b)(10 + -1b) = 0Subproblem 1
Set the factor '(-2 + -9b)' equal to zero and attempt to solve: Simplifying -2 + -9b = 0 Solving -2 + -9b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -9b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9b = 0 + 2 -9b = 0 + 2 Combine like terms: 0 + 2 = 2 -9b = 2 Divide each side by '-9'. b = -0.2222222222 Simplifying b = -0.2222222222Subproblem 2
Set the factor '(10 + -1b)' equal to zero and attempt to solve: Simplifying 10 + -1b = 0 Solving 10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 0 + -10 -1b = 0 + -10 Combine like terms: 0 + -10 = -10 -1b = -10 Divide each side by '-1'. b = 10 Simplifying b = 10Solution
b = {-0.2222222222, 10}
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